unsigned int Ts[1 << 16] = {0,1,4,5,16,17,20,21,64,65,68,69,80,81,84,85,256,257,260,261,272,273,276,277,320,321,324,325,336,337,340,341,1024,1025,1028,1029,1040,1041,1044,1045,1088,1089,1092,1093,1104,1105,1108,1109,1280,1281,1284,1285,1296,1297,1300,1301,1344,1345,1348,1349,1360,1361,1364,1365,4096,4097,4100,4101,4112,4113,4116,4117,4160,4161,4164,4165,4176,4177,4180,4181,4352,4353,4356,4357,4368,4369,4372,4373,4416,4417,4420,4421,4432,4433,4436,4437,5120,5121,5124,5125,5136,5137,5140,5141,5184,5185,5188,5189,5200,5201,5204,5205,5376,5377,5380,5381,5392,5393,5396,5397,5440,5441,5444,5445,5456,5457,5460,5461,16384,16385,16388,16389,16400,16401,16404,16405,16448,16449,16452,16453,16464,16465,16468,16469,16640,16641,16644,16645,16656,16657,16660,16661,16704,16705,16708,16709,16720,16721,16724,16725,17408,17409,17412,17413,17424,17425,17428,17429,17472,17473,17476,17477,17488,17489,17492,17493,17664,17665,17668,17669,17680,17681,17684,17685,17728,17729,17732,17733,17744,17745,17748,17749,20480,20481,20484,20485,20496,20497,20500,20501,20544,20545,20548,20549,20560,20561,20564,20565,20736,20737,20740,20741,20752,20753,20756,20757,20800,20801,20804,20805,20816,20817,20820,20821,21504,21505,21508,21509,21520,21521,21524,21525,21568,21569,21572,21573,21584,21585,21588,21589,21760,21761,21764,21765,21776,21777,21780,21781,21824,21825,21828,21829,21840,21841,21844,21845,65536,65537,65540,65541,65552,65553,65556,65557,65600,65601,65604,65605,65616,65617,65620,65621,65792,65793,65796,65797,65808,65809,65812,65813,65856,65857,65860,65861,65872,65873,65876,65877,66560,66561,66564,66565,66576,66577,66580,66581,66624,66625,66628,66629,66640,66641,66644,66645,66816,66817,66820,66821,66832,66833,66836,66837,66880,66881,66884,66885,66896,66897,66900,66901,69632,69633,69636,69637,69648,69649,69652,69653,69696,69697,69700,69701,69712,69713,69716,69717,69888,69889,69892,69893,69904,69905,69908,69909,69952,69953,69956,69957,69968,69969,69972,69973,70656,70657,70660,70661,70672,70673,70676,70677,70720,70721,70724,70725,70736,70737,70740,70741,70912,70913,70916,70917,70928,70929,70932,70933,70976,70977,70980,70981,70992,70993,70996,70997,81920,81921,81924,81925,81936,81937,81940,81941,81984,81985,81988,81989,82000,82001,82004,82005,82176,82177,82180,82181,82192,82193,82196,82197,82240,82241,82244,82245,82256,82257,82260,82261,82944,82945,82948,82949,82960,82961,82964,82965,83008,83009,83012,83013,83024,83025,83028,83029,83200,83201,83204,83205,83216,83217,83220,83221,83264,83265,83268,83269,83280,83281,83284,83285,86016,86017,86020,86021,86032,86033,86036,86037,86080,86081,86084,86085,86096,86097,86100,86101,86272,86273,86276,86277,86288,86289,86292,86293,86336,86337,86340,86341,86352,86353,86356,86357,87040,87041,87044,87045,87056,87057,87060,87061,87104,87105,87108,87109,87120,87121,87124,87125,87296,87297,87300,87301,87312,87313,87316,87317,87360,87361,87364,87365,87376,87377,87380,87381,262144,262145,262148,262149,262160,262161,262164,262165,262208,262209,262212,262213,262224,262225,262228,262229,262400,262401,262404,262405,262416,262417,262420,262421,262464,262465,262468,262469,262480,262481,262484,262485,263168,263169,263172,263173,263184,263185,263188,263189,263232,263233,263236,263237,263248,263249,263252,263253,263424,263425,263428,263429,263440,263441,263444,263445,263488,263489,263492,263493,263504,263505,263508,263509,266240,266241,266244,266245,266256,266257,266260,266261,266304,266305,266308,266309,266320,266321,266324,266325,266496,266497,266500,266501,266512,266513,266516,266517,266560,266561,266564,266565,266576,266577,266580,266581,267264,267265,267268,267269,267280,267281,267284,267285,267328,267329,267332,267333,267344,267345,267348,267349,267520,267521,267524,267525,267536,267537,267540,267541,267584,267585,267588,267589,267600,267601,267604,267605,278528,278529,278532,278533,278544,278545,278548,278549,278592,278593,278596,278597,278608,278609,278612,278613,278784,278785,278788,278789,278800,278801,278804,278805,278848,278849,278852,278853,278864,278865,278868,278869,279552,279553,279556,279557,279568,279569,279572,279573,279616,279617,279620,279621,279632,279633,279636,279637,279808,279809,279812,279813,279824,279825,279828,279829,279872,279873,279876,279877,279888,279889,279892,279893,282624,282625,282628,282629,282640,282641,282644,282645,282688,282689,282692,282693,282704,282705,282708,282709,282880,282881,282884,282885,282896,282897,282900,282901,282944,282945,282948,282949,282960,282961,282964,282965,283648,283649,283652,283653,283664,283665,283668,283669,283712,283713,283716,283717,283728,283729,283732,283733,283904,283905,283908,283909,283920,283921,283924,283925,283968,283969,283972,283973,283984,283985,283988,283989,327680,327681,327684,327685,327696,327697,327700,327701,327744,327745,327748,327749,327760,327761,327764,327765,327936,327937,327940,327941,327952,327953,327956,327957,328000,328001,328004,328005,328016,328017,328020,328021,328704,328705,328708,328709,328720,328721,328724,328725,328768,328769,328772,328773,328784,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